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3 years ago

-3(5x + 7) + 2x – 3 = 5.x - 8 - 13

Mathematics

2 answers:

ratelena [41]3 years ago

8 0

Answer:

x=-7

Step-by-step explanation:

Simplifying

3(x + -2) = 5x + 8

Reorder the terms:

3(-2 + x) = 5x + 8

(-2 * 3 + x * 3) = 5x + 8

(-6 + 3x) = 5x + 8

Reorder the terms:

-6 + 3x = 8 + 5x

Solving

-6 + 3x = 8 + 5x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-5x' to each side of the equation.

-6 + 3x + -5x = 8 + 5x + -5x

Combine like terms: 3x + -5x = -2x

-6 + -2x = 8 + 5x + -5x

Combine like terms: 5x + -5x = 0

-6 + -2x = 8 + 0

-6 + -2x = 8

Add '6' to each side of the equation.

-6 + 6 + -2x = 8 + 6

Combine like terms: -6 + 6 = 0

0 + -2x = 8 + 6

-2x = 8 + 6

Combine like terms: 8 + 6 = 14

-2x = 14

Divide each side by '-2'.

x = -7

Simplifying

x = -7

algol [13]3 years ago

6 0

Answer

x=-1/6

x=0.1 6¯

Step-by-step explanation:

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3 years ago

Matthew is packing 120 pencils and 108 notebooks

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Answer:

12 boxes
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Step-by-step explanation:

a) The number of boxes will be the greatest common divisor (GCD) of the numbers 120 and 108. That number is 12.

120 = 12×10

108 = 12×9 . . . . 12 is the greatest common divisor

Matthew can make 12 boxes with equal numbers of the items.

b) 120 pencils divided by 12 will be 10 pencils per box.

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<em>Additional comment</em>

It helps to be familiar with multiplication tables up to about 12×12.

The GCD can always be found using Euclid's algorithm. Look at the remainder when the larger number is divided by the smaller. If it is not zero, then replace the larger number with the remainder and repeat. If the remainder is zero, the divisor is the GCD.

Here, we have ...

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3 years ago

What percent of 700 is 364

viktelen [127]

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Step-by-step explanation:

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2 years ago

A company developing a new cellular phone plan intends to market their new phone to customers who use text and social media ofte

Ber [7]

Answer:

A customer who sends 78 messages per day would be at 99.38th percentile.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Average of 48 texts per day with a standard deviation of 12.

This means that $\mu = 48, \sigma = 12$

a. A customer who sends 78 messages per day would correspond to what percentile?

The percentile is the p-value of Z when X = 78. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{78 - 48}{12}$

$Z = 2.5$

$Z = 2.5$ has a p-value of 0.9938.

0.9938*100% = 99.38%.

A customer who sends 78 messages per day would be at 99.38th percentile.

8 0

2 years ago

-3(5x + 7) + 2x – 3 = 5.x - 8 - 13​

-3(5x + 7) + 2x – 3 = 5.x - 8 - 13